Pith Number

pith:UQGOB3FK

pith:2012:UQGOB3FKQLEJBLIPBC7PVQ7HB7

not attested not anchored not stored refs pending

Ergodicity for Infinite Periodic Translation Surfaces

Barak Weiss, Pascal Hubert

arxiv:1202.0156 v1 · 2012-02-01 · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UQGOB3FKQLEJBLIPBC7PVQ7HB7}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-17T23:53:18.971716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a40ce0ecaa82c890ad0f08befac3e70ffd4f0868a91a7f07cf44bb6c04fa2eb5

Aliases

arxiv: 1202.0156 · arxiv_version: 1202.0156v1 · doi: 10.48550/arxiv.1202.0156 · pith_short_12: UQGOB3FKQLEJ · pith_short_16: UQGOB3FKQLEJBLIP · pith_short_8: UQGOB3FK

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/UQGOB3FKQLEJBLIPBC7PVQ7HB7 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: a40ce0ecaa82c890ad0f08befac3e70ffd4f0868a91a7f07cf44bb6c04fa2eb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae6f077c3c8ee0f9353c40b88fb726326b600b52a81d1f6170a0adc678e1321c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-02-01T12:10:13Z",
    "title_canon_sha256": "9fc130863cb9f4ce3c513e0d6ab374442cee9b9de0e240ba3b665027dd055c59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0156",
    "kind": "arxiv",
    "version": 1
  }
}